If a machine is correctly set up. it produces 90% acceptable items. If it is incorrectly set up, it produces only 40% acceptable items. Past experience shows that 80% of the set ups are correctly done. If after a certain set up, the machine produces 2 acceptable items, find the probability that the machine is correctly setup.

A factory has two machines A and B. Machine A produces 40% of items of the output and Machine B produces 60% of the items. Further 4% of items produced by Machine A are defective and 5% produced by Machine B are defective. An item is drawn at random. If the drawn item is defective, find the probability that it was produced by Machine B.

A factory has two machines and Il Machine produces 40% of items of the output and Machine Il produces 60% of the items. Further 4% of items produced by Machine are defective and 5% produced by Machine Il are defective. An item is drawn at random. If the drawn item is defective, find the probability that it was produced by Machine II. (See the previous example, compare the questions)

A factory has two machines A and B. Past records show that the machine A produced 60% of the items of output and machine B produced 40% of the items further 2% of the items produced by machine A were defective and 1% produced by machine B were defective. If an item is drawn at random, what is the probability that it is defective?

A factory has two machines A and B. Past records show that the machine A produced 60% of the items of output and machine B produced 40% of the items further 2% of the items produced by machine A were defective and 1% produced by machine B were defective. If an item is drawn at random, what is the probability that it is defective?

Three machines A, B and C produce respectively 30%, 50% and 20% of the total number of items of a factory. The percentage of defective output of these machines are 1%, 4% and 3% respectively. If an item is selected at random, find the probability that the item is non-defective.

A factory has two machines X and Y .X produces 70% and Y produces 30% of the items of which items produced by X have 5% defective items and items produced by Y have 8% defective. An item is drawn at random for the product and is found to be defective. Find the probability that it was produced by Machine Y.

A manufacturer has three machine operators A,B and C. The first operator A produces 1% defective items, whereas the other two operators B and C produce 5% and 7% defective items respectively. A is on the job for 50% of the time, B is on the job for 30% of the time and C is on the job for 20% of the time. A defective item is produced, what is the probability that it was produced by A?